Search a number
-
+
221020188792 = 2331321737412113
BaseRepresentation
bin1100110111010111010…
…1000111000001111000
3210010111021110220200020
43031311311013001320
512110122132020132
6245311341410440
721653041415154
oct3156565070170
9703437426606
10221020188792
1185809153157
1236a03269a20
1317ac4182300
14a9a9a8c064
155b38a5d52c
hex3375d47078

221020188792 has 384 divisors, whose sum is σ = 666826292160. Its totient is φ = 60728279040.

The previous prime is 221020188791. The next prime is 221020188797. The reversal of 221020188792 is 297881020122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020188791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104599128 + ... + 104601240.

Almost surely, 2221020188792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020188792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333413146080).

221020188792 is an abundant number, since it is smaller than the sum of its proper divisors (445806103368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221020188792 is a wasteful number, since it uses less digits than its factorization.

221020188792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 221020188792 in words is "two hundred twenty-one billion, twenty million, one hundred eighty-eight thousand, seven hundred ninety-two".